Question

150 students in a school are identified to bemusically gifted. Of those 150 students, 53 onlyplay in band, 61 only sing in orchestra, and 27 bothplay in band and sing in orchestra. A counselorneeds to discuss course schedules for theorchestra students for the upcoming year. Givenshe selects an orchestra student at random, what isthe probability that she chooses a student that alsoplays in band?

Answer 1

Solution

Given she selects an orchestra student at random which is 61

Both is 27

Now

The probability that she chooses a student that also

plays in band

$\frac{27}{61}=0.4426229508$

The final answer

Option A

$0.4426$